Small minimal blocking sets in \(\text{PG}(2,q^3)\)

DOI10.1006/eujc.2001.0545zbMath1001.51006OpenAlexW1579657413MaRDI QIDQ1348771

Olga Polverino, Storme, L.

Publication date: 9 December 2002

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/eujc.2001.0545

zbMATH Keywords

minimal blocking setsmall blocking set

Mathematics Subject Classification ID

Blocking sets, ovals, (k)-arcs (51E21)

Related Items (16)

On multiple blocking sets in Galois planes ⋮ Small point sets of \(\text{PG}(n, q ^{3})\) intersecting each \(k\)-subspace in 1 mod \(q\) points ⋮ The Use of Blocking Sets in Galois Geometries and in Related Research Areas ⋮ The classification of the smallest nontrivial blocking sets in \(PG(n,2)\) ⋮ Small point sets of \(\text{PG}(n,p^{3h})\) intersecting each line in 1 mod \(p^{h}\) points ⋮ Lower bounds for the cardinality of minimal blocking sets in projective spaces ⋮ A proof of the linearity conjecture for \(k\)-blocking sets in PG\((n,p^{3}), \, p\) prime ⋮ Partial ovoids and partial spreads in symplectic and orthogonal polar spaces ⋮ Small maximal partial \(t\)-spreads in \(\mathrm{PG}(2t+1 , q)\) ⋮ Weighted \(\{\delta (q+1),\delta ;k-1,q\}\)-minihypers ⋮ On large minimal blocking sets in PG(2,q) ⋮ A spectrum result on minimal blocking sets with respect to the planes of \(\text{PG}(3, q)\), \(q\) odd ⋮ A classification result on weighted \(\{\delta v_{\mu +1},\delta v_{\mu};N,p^{3}\}\)-minihypers ⋮ Linear sets in finite projective spaces ⋮ Small weight codewords in the codes arising from Desarguesian projective planes ⋮ Tight sets, weighted \(m\)-covers, weighted \(m\)-ovoids, and minihypers

Cites Work

• Blocking sets in Desarguesian affine and projective planes
• On the number of slopes of the graph of a function defined on a finite field
• Small blocking sets in \(PG(2,p^3)\)
• Partial \(t\)-spreads in \(\text{PG}(2t+1,q)\)
• Small minimal blocking sets and complete \(k\)-arcs in PG\((2,p^3)\)
• A geometric characterisation of linear \(k\)-blocking sets
• Lacunary Polynomials, Multiple Blocking Sets and Baer Subplanes
• On 1-blocking sets in \(PG(n,q), n\geq 3\)

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